Dayworld is a trilogy of science fiction novels by Philip José Farmer, inspired by his own acclaimed short story "The Sliced-Crosswise Only-On-Tuesday World".
The novels focus on a man, Jeff Caird, who is a daybreaker: someone who lives more than one day a week.
As a daybreaker, Caird has mentally created a different identity for himself for each day of the week, different jobs, different friends, and different wives all included.
A stoner is the device which triggers the suspended animation which each and every citizen of the respective day must, by law, be in by 11:30 PM.
At 11:35 (in accordance with a five-minute grace period) the stoners turn on and the occupant is essentially frozen in time, resembling a stone statue.